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Finding the Third Proportional to 52,217 and 110,387

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Solution

The third proportional to 52,217 and 110,387 is: 233,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,217 : 110,387 = 110,387 : x
  2. Step 2: Convert to fraction form
    52,217/110,387 = 110,387/x
  3. Step 3: Cross multiply
    52,217x = 110,387 × 110,387
  4. Step 4: Simplify right side
    52,217x = 12,185,289,769
  5. Step 5: Solve for x
    x = 12,185,289,769/52,217
  6. Step 6: Final answer
    x = 233,358.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.